10325435120 has 160 divisors (see below), whose sum is σ = 32232936960. Its totient is φ = 2970731520.

The previous prime is 10325435117. The next prime is 10325435137. The reversal of 10325435120 is 2153452301.

It is a happy number.

10325435120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10325435120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10325435120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15611 + ... + 144549.

It is an arithmetic number, because the mean of its divisors is an integer number (201455856).

Almost surely, 2^10325435120 is an apocalyptic number.

10325435120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10325435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16116468480).

10325435120 is an abundant number, since it is smaller than the sum of its proper divisors (21907501840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10325435120 is a wasteful number, since it uses less digits than its factorization.

10325435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128983 (or 128977 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 10325435120 its reverse (2153452301), we get a palindrome (12478887421).

The spelling of 10325435120 in words is "ten billion, three hundred twenty-five million, four hundred thirty-five thousand, one hundred twenty".